homogeneous space
topological space that is the space of cosets of a topological group
principal homogeneous space
homogeneous space for a group in which the stabilizer subgroup of every point is trivial; an affine analogue of a group; a “group” in which the identity element has been forgotten
anti-de Sitter space
maximally symmetric Lorentzian manifold with negative cosmological constant, which appears in the AdS/CFT correspondence
Stiefel manifold
the manifold of all orthonormal k-frames in n-dimensional Euclidean space
hyperbolic space
homogeneous space that has a constant negative curvature (not any hyperbolic manifold)
generalized flag variety
homogeneous space which is the quotient of a semisimple group by its parabolic subgroup
weakly symmetric space
complete Riemannian manifold such that any two points can be exchanged by an isometry
de Sitter space
maximally symmetric Lorentzian manifold with positive cosmological constant